Bipolar neutrosophic sets and their application based on multi-criteria decision making problems

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type , Preprint 01 Aug 2015Embargo end date: 01 Jan 2015Publisher:IEEEJournal:2015 International Conference on Advanced Mechatronic Systems (ICAMechS)

Authors: İrfan Deli̇; Mumtaz Ali; Florentín Smarandache;

doi: 10.1109/icamechs.2015.7287068 , 10.48550/arxiv.1504.02773 , 10.60692/t0n5t-5rt77 , 10.5281/zenodo.2838316 , 10.5281/zenodo.49130 , 10.5281/zenodo.49119 , 10.60692/t5vc7-2yp37 , 10.5281/zenodo.2838315

arXiv: 1504.02773

Bipolar neutrosophic sets and their application based on multi-criteria decision making problems

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Abstract

In this paper, we introduce concept of bipolar neutrosophic set and its some operations. Also, we propose score, certainty and accuracy functions to compare the bipolar neutrosophic sets. Then, we develop the bipolar neutrosophic weighted average operator and bipolar neutrosophic weighted geometric operat��r to aggregate the bipolar neutrosophic information. Furthermore, based on the neutrosophic weighted geometric(aritmetic) operat��r and the score, certainty and accuracy functions, we develop a bipolar neutrosophic multiple criteria decision-making approach, in which the evaluation values of alternatives on the attributes take the form of bipolar neutrosophic numbers to select the most desirable one(s). Finally, a numerical example of the method was given to demonstrate the application and effectiveness of the developed method.

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Keywords

Composite material, Artificial intelligence, bipolar neutrosophic set, Social Sciences, Group Decision Making, Set (abstract data type), Multi-Criteria Decision Making, Management Science and Operations Research, Operator (biology), Biochemistry, Gene, Decision Sciences, Multi-Objective Transportation Problem Optimization, bipolar neutrosophic sets, Engineering, Neutrosophic set, General Mathematics (math.GM), FOS: Mathematics, Multi-criteria Decision Making, Mathematics - General Mathematics, Data mining, GIS-based Decision Analysis, Application of Soft Set Theory in Decision Making, geometric operator, Computer science, Materials science, Programming language, Algorithm, Chemistry, Aggregate (composite), Control and Systems Engineering, Physical Sciences, Repressor, Transcription factor, Mathematics, Decision-making

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